嵌入三量子比特的分裂Cayley六边形是上下文敏感的
Three-Qubit-Embedded Split Cayley Hexagon is Contextuality Sensitive
摘要：
已知二阶可裂Cayley六边形在秩为3的二元辛极空间$\mathcal{W}(5,2)$中有两种非等价嵌入，称为经典嵌入和斜嵌入.将$\mathcal{W}(5,2)$的63个点用三量子比特泡利群的63个正则观测量标记，并考虑群元素之间的对易关系所引起的辛极性，发现这两种嵌入都是量子上下文敏感的.特别是，我们表明，一个经典的嵌入式六边形的补充是没有上下文，而一个斜嵌入的。
英文摘要：
It is known that there are two non-equivalent embeddings of the split Cayley hexagon of order two into $\mathcal{W}(5,2)$, the binary symplectic polar space of rank three, called classical and skew. Labelling the 63 points of $\mathcal{W}(5,2)$ by the 63 canonical observables of the three-qubit Pauli group subject to the symplectic polarity induced by the (commutation relations between the elements of the) group, the two types of embedding are found to be quantum contextuality sensitive. In particular, we show that the complement of a classically-embedded hexagon is not contextual, whereas that of a skewly-embedded one is.
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